Answer
Three additional points on the line can be:
$(4,-7)$
$(6,-10)$
$(8,-13)$
Work Step by Step
If we interpret the slope, we can say that if $m=-\frac{3}{2}$, then for every $2$ units increase in $x$, $y$ decreases by $3$ units. Using that, we can calculate more points on the line.
The starting point is given $(2,-4)$, after that, we have to add the aforementioned changes to the x and y-coordinates.
Next point can be:
$(2+2,-4-3)=(4,-7)$
Now, starting with $(4,-7)$ we add the changes again:
$(4+2,-7-3)=(6,-10)$
Now, starting with $(6,-10)$ we add the changes again:
$(6+2,-10-3)=(8,-13)$